Skip to content

Course home

Sign up

Trigonometry and Modelling

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256
Question 130
a.

Show that 1−cos⁡2x1+cos⁡2x≡tan⁡2x\displaystyle \frac{1 - \cos 2x}{1 + \cos 2x} \equiv \tan^2 x1+cos2x1−cos2x​≡tan2x

[4]
b.

Hence solve, for −2π≤θ≤2π-2\pi \leq \theta \leq 2\pi−2π≤θ≤2π,

1−cos⁡2θ1+cos⁡2θ=3 \frac{1 - \cos 2\theta}{1 + \cos 2\theta} = 3 1+cos2θ1−cos2θ​=3
[2]
Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank